Question

?what is this? I need to know what to do?

Answer 1

$\huge\underline\mathrm\green{Solution:-}$

$\mathrm\red{Given:-}$$\mathrm{H(Hypotenuse)=10\:units,O=y,\:A(Adjacent)=x}$

$\mathrm{we\:know\:sin\:θ\:=}$$\frac{O}{H}$$\pink\Rightarrow{ }$$\mathrm{sin\:60°=}$$\frac{y}{10}$

$\frac{√3}{2}$= $\frac{y}{10}$ $\pink\Rightarrow{ }$$\mathrm{2y=10√3}$$\pink\Rightarrow{ }$$\mathrm{y=}$$\frac{10√3}{2}$

$\pink\Rightarrow{ }$$\mathrm{y=5√3}$

$\underline\mathrm\red{Now,}$

$\mathrm{we\:know\:cos\:θ\:=}$$\frac{A}{H}$$\pink\Rightarrow{ }$$\mathrm{cos\:60°=}$$\frac{x}{10}$

$\frac{1}{2}$= $\frac{x}{10}$ $\pink\Rightarrow{ }$$\mathrm{2x=10}$$\pink\Rightarrow{ }$$\mathrm{x=5}$

$\underline\mathrm\green{Therefore\: the\: Value\:of\:x\:is\:is\:5\:units}$

$\underline\mathrm\green{and\:the\: value\:of\:y\:is\:5√3\:units}$